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Finding the Fourth Proportional to 1,301.49, 1,951.16 and 607.79

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Solution

The fourth proportional to 1,301.49, 1,951.16 and 607.79 is: 911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.49 : 1,951.16 = 607.79 : x
  2. Step 2: Convert to fraction form
    1,301.49/1,951.16 = 607.79/x
  3. Step 3: Cross multiply
    1,301.49x = 1,951.16 × 607.79
  4. Step 4: Simplify right side
    1,301.49x = 1,185,897.38
  5. Step 5: Solve for x
    x = 1,185,897.38/1,301.49
  6. Step 6: Final answer
    x = 911.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.